435740 ÷ 31 
We want to figure out the number of times 435740 can be divided by 31.

Step 1:
31 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 31

On to step 2:
If we divide 43 by 31, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 31 from 43 leaves us with 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 31

Step 3:
When dividing 125 by 31, we get 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 124 from 125 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 31

Advancing to step 4:
17 divided by 31 is 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 140.0
Subtract 0 from 17 to get 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 31

Let's proceed to step 5:
The number 31 fits into 174 5 times, leaving a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 1405.0
Subtract 155 from 174 to get 19.
Take the next digit (0) from the dividend and append it to 19, then repeat: 190 / 31

Moving on to step 6:
190 divided by 31 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 14056.0
Subtracting 186 from 190 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 31, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 14056.1
Subtract 31 from 40 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
If we divide 90 by 31, we get 2 and a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 14056.12
Deduct 62 from 90 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
280 divided by 31 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 14056.129
If we subtract 279 from 280, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
The number 31 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 14056.129
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
If we divide 100 by 31, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 14056.12903
Deduct 93 from 100 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
31 can be fit into 70 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 14056.129032
Subtract 62 from 70 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
31 can be fit into 80 2 times, resulting in a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 14056.1290322
Subtracting 62 from 80 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 14056.1290322 and a remainder of 1.8e-07.